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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 217 · 40 sums
TalentJR

The method (90, 180, equal): Complement of a = 90 − a. Supplement of a = 180 − a. Lines crossing: vertically opposite angles are equal; a linear pair adds up to 180°. Parallel lines: corresponding angles equal, alternate interior angles equal, interior angles on the same side add up to 180°. One angle d° more than the other: bigger = (total + d) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.Two parallel lines are cut by a transversal. One interior angle is 101°. What is its alternate interior angle (in degrees)?
  2. 2.Two angles are supplementary. One is 102° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the supplement of 48° (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 129°. What is the angle vertically opposite to it (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 145°. What is the angle next to it on the same line (in degrees)?
  6. 6.Are 39° and 141° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  7. 7.What is the supplement of 52° (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 58°. What is its other interior angle on the same side of the transversal (in degrees)?
  9. 9.What is the complement of 26° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 54°. What is the angle vertically opposite to it (in degrees)?
  11. 11.What is the supplement of 80° (in degrees)?
  12. 12.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the complement of 73° (in degrees)?
  14. 14.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 118°. What is its alternate interior angle (in degrees)?
  16. 16.What is the supplement of 95° (in degrees)?
  17. 17.Two angles are supplementary. One is 100° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 147°. What is the angle next to it on the same line (in degrees)?
  19. 19.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the supplement of 143° (in degrees)?
  21. 21.Are 74° and 16° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  22. 22.Two angles are supplementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the complement of 52° (in degrees)?
  24. 24.Are 16° and 74° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  25. 25.What is the complement of 27° (in degrees)?
  26. 26.What is the complement of 44° (in degrees)?
  27. 27.What is the supplement of 68° (in degrees)?
  28. 28.Are 75° and 105° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  29. 29.What is the supplement of 142° (in degrees)?
  30. 30.Two angles are supplementary. One is 122° more than the other. What is the bigger angle (in degrees)?
  31. 31.Are 57° and 123° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  32. 32.What is the complement of 72° (in degrees)?
  33. 33.Are 59° and 63° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 136°. What is its other interior angle on the same side of the transversal (in degrees)?
  35. 35.What is the complement of 30° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 159°. What is the angle vertically opposite to it (in degrees)?
  37. 37.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 59°. What is the angle next to it on the same line (in degrees)?
  39. 39.Are 17° and 17° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  40. 40.Two angles are supplementary. One is 40° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 101
  2. 141
  3. 132
  4. 129
  5. 35
  6. Supplementary
  7. 128
  8. 122
  9. 64
  10. 54
  11. 100
  12. 70
  13. 17
  14. 49
  15. 118
  16. 85
  17. 140
  18. 33
  19. 50
  20. 37
  21. Complementary
  22. 111
  23. 38
  24. Complementary
  25. 63
  26. 46
  27. 112
  28. Supplementary
  29. 38
  30. 151
  31. Supplementary
  32. 18
  33. Neither
  34. 44
  35. 60
  36. 159
  37. 78
  38. 121
  39. Neither
  40. 110

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